1001010000161 has 2 divisors, whose sum is σ = 1001010000162. Its totient is φ = 1001010000160.

The previous prime is 1001010000139. The next prime is 1001010000191. The reversal of 1001010000161 is 1610000101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 764260608400 + 236749391761 = 874220^2 + 486569^2 .

It is an emirp because it is prime and its reverse (1610000101001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1910000101001 and 1001010000191.

It is a cyclic number.

It is not a de Polignac number, because 1001010000161 - 2¹⁴ = 1001009983777 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001010000191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505000080 + 500505000081.

It is an arithmetic number, because the mean of its divisors is an integer number (500505000081).

Almost surely, 2^{1001010000161} is an apocalyptic number.

It is an amenable number.

1001010000161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010000161 is an equidigital number, since it uses as much as digits as its factorization.

1001010000161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001010000161 its reverse (1610000101001), we get a palindrome (2611010101162).

The spelling of 1001010000161 in words is "one trillion, one billion, ten million, one hundred sixty-one", and thus it is an aban number.